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Finding the Fourth Proportional to 852.50, 1,278.96 and 275.38

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Solution

The fourth proportional to 852.50, 1,278.96 and 275.38 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.50 : 1,278.96 = 275.38 : x
  2. Step 2: Convert to fraction form
    852.50/1,278.96 = 275.38/x
  3. Step 3: Cross multiply
    852.50x = 1,278.96 × 275.38
  4. Step 4: Simplify right side
    852.50x = 352,200.00
  5. Step 5: Solve for x
    x = 352,200.00/852.50
  6. Step 6: Final answer
    x = 413.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.